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Adjunction of roots to nilpotent groups

Published online by Cambridge University Press:  18 May 2009

R. B. J. T. Allenby
R. B. J. T. Allenby
Affiliation:
University CollegeCardiff
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For any nilpotent group B of class c and any given element h of B generating the subgroup H, Wiegold [1] has shown that if, in addition, [B, H] has exponent pr for some prime p and integer r, then B can be embedded in a nilpotent group G such that G also contains psth root for h(s ≧ 1). In fact, Wiegold has gone further and calculated an upper bound for the class of G in terms of the variables c, p, r, s.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 7 , Issue 3 , January 1966 , pp. 109 - 118
Copyright
Copyright © Glasgow Mathematical Journal Trust 1966

References

REFERENCES

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